364101214464 has 243 divisors, whose sum is σ = 1137935477133. Its totient is φ = 111915288576.

The previous prime is 364101214457. The next prime is 364101214489. The reversal of 364101214464 is 464412101463.

The square root of 364101214464 is 603408.

It is a perfect power (a square), and thus also a powerful number.

364101214464 is a `hidden beast` number, since 3 + 64 + 10 + 121 + 4 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53861126400 + 310240088064 = 232080^2 + 556992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 376526109 + ... + 376527075.

Almost surely, 2^364101214464 is an apocalyptic number.

364101214464 is the 603408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364101214464

364101214464 is an abundant number, since it is smaller than the sum of its proper divisors (773834262669).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364101214464 is an frugal number, since it uses more digits than its factorization.

364101214464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 364101214464 by its sum of digits (36), we get a square (13107643720704 = 3620448²).

364101214464 divided by its sum of digits (36) gives a square (10113922624 = 100568²).

The spelling of 364101214464 in words is "three hundred sixty-four billion, one hundred one million, two hundred fourteen thousand, four hundred sixty-four".